coordinate geometry mrs. keating keystone geometry
TRANSCRIPT
The Coordinate PlaneIn Algebra, we are all
introduced to the Coordinate Plane. Points, lines, segments, rays, and angles, as well as other geometric shapes, can be graphed on the coordinate plane.
Using the Coordinate PlaneWhat are the coordinates of the
following points? The vertex of Angle JKL?
The Endpoint of Ray FG?
A point on Line BC?
The Endpoints of Line Segment DE?
Why use Coordinate GeometryIf you know the coordinates of a group of points you can:
Determine the distance between them.
Find the midpoint, slope and equation of a line segment.
Determine if lines are parallel or perpendicular.
Find the area and perimeter of a polygon defined by the points.
Transform a shape by moving, rotating and reflecting it.
Define the equations of curves, circles and ellipses.
Formulas for Coordinate Geometry
• Midpoint• Distance• Slope• Equations of a Line:• Slope-Intercept Form• Point-Slope Form• Standard Form